Will President Trump’s criticism of the Fed have any impact on monetary policy and interest rates?

NO: President Trump’s intended audience is not really the Fed, rather it is his base, the Republican Party and Independents. The Fed itself is an independent institution and while there are fears of inflation and concerns about the labor market among some conservatives, Mr. Trump will not impact Fed policy. Most likely, President Trump and the Fed will both convince conservatives to be less afraid of inflation and all will be in a better place.